{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simple demo for using supracentrality Python code\n",
    "\n",
    "### Dane Taylor, 4 January 2021\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "import networkx as nx\n",
    "#import seaborn as sns\n",
    "from scipy import sparse\n",
    "import sys,os"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Set up folders for code and figures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# folder containing supracentrality codes\n",
    "code_folder = '../supracentrality/' \n",
    "sys.path.append(code_folder)\n",
    "\n",
    "# folder where to save figures\n",
    "fig_folder = 'figs' \n",
    "if os.path.isdir(fig_folder)==False: os.mkdir(fig_folder) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from supracentrality import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Load a simple multiplex network with N=4 nodes and T=6 layers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph = get_toy1()\n",
    "f1,ax = visualize_toy1(graph)\n",
    "plt.savefig(fig_folder+'/toy1_visual.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[array([[0, 1, 1, 1],\n",
       "        [1, 0, 0, 0],\n",
       "        [1, 0, 0, 0],\n",
       "        [1, 0, 0, 0]]),\n",
       " array([[0, 1, 1, 0],\n",
       "        [1, 0, 0, 0],\n",
       "        [1, 0, 0, 1],\n",
       "        [0, 0, 1, 0]]),\n",
       " array([[0, 0, 1, 0],\n",
       "        [0, 0, 0, 1],\n",
       "        [1, 0, 0, 1],\n",
       "        [0, 1, 1, 0]]),\n",
       " array([[0, 0, 0, 1],\n",
       "        [0, 0, 0, 1],\n",
       "        [0, 0, 0, 1],\n",
       "        [1, 1, 1, 0]]),\n",
       " array([[0, 1, 0, 0],\n",
       "        [1, 0, 0, 1],\n",
       "        [0, 0, 0, 1],\n",
       "        [0, 1, 1, 0]]),\n",
       " array([[0, 1, 0, 0],\n",
       "        [1, 0, 1, 1],\n",
       "        [0, 1, 0, 0],\n",
       "        [0, 1, 0, 0]])]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "graph['As']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Study supracentrality when layers coupled by undirected chain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "M = [sparse.csr_matrix(A) for A in graph['As']] # adjacency matrices must be sparse\n",
    "At = undirected_chain(len(M))\n",
    "omega = 1 # interlayer coupling strength"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.038, 0.887, 0.463, 0.038],\n",
       "       [0.463, 0.038, 0.038, 0.038],\n",
       "       [0.463, 0.038, 0.038, 0.887],\n",
       "       [0.038, 0.038, 0.463, 0.038]])"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#for the centrality matrix, use the Google matrix transpose\n",
    "centrality_matrix_type = 'pagerank' # or adjacency, or hub, authority\n",
    "\n",
    "if centrality_matrix_type == 'adjacency':\n",
    "    centrality_function = lambda A: A.todense()\n",
    "    \n",
    "if centrality_matrix_type == 'pagerank':\n",
    "    centrality_function = lambda A: google_matrix(A,alpha=0.85).T\n",
    "\n",
    "if centrality_matrix_type == 'hub':\n",
    "    centrality_function = lambda A: np.dot(A.todense(),A.todense().T)\n",
    "\n",
    "if centrality_matrix_type == 'authority':\n",
    "    centrality_function = lambda A: np.dot(A.todense().T,A.todense())\n",
    "\n",
    "\n",
    "centrality_function(M[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "joint centralities:\n",
      "[[0.037 0.049 0.044 0.038 0.029 0.016]\n",
      " [0.016 0.03  0.041 0.045 0.05  0.038]\n",
      " [0.025 0.055 0.064 0.048 0.035 0.018]\n",
      " [0.021 0.045 0.074 0.092 0.063 0.028]]\n"
     ]
    }
   ],
   "source": [
    "joints = supraCentrality(M,At,omega,centrality_function)\n",
    "np.set_printoptions(precision=3)\n",
    "print('joint centralities:')\n",
    "print(joints)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "conditional centralities:\n",
      "[[0.378 0.274 0.197 0.172 0.164 0.158]\n",
      " [0.16  0.168 0.184 0.201 0.282 0.382]\n",
      " [0.25  0.308 0.288 0.215 0.198 0.18 ]\n",
      " [0.212 0.25  0.331 0.412 0.355 0.28 ]]\n"
     ]
    }
   ],
   "source": [
    "marginals,conditionals = get_marginal_and_conditional(joints)\n",
    "print('conditional centralities:')\n",
    "print(conditionals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "f1,ax = plot_joint_conditional_centralities(joints,conditionals)\n",
    "ax[0].set_title('$\\omega='+str(omega)+'$')\n",
    "ax[1].set_title('$\\omega='+str(omega)+'$')\n",
    "plt.savefig(fig_folder+'/joints_conditionals_undirected.pdf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Increase $\\omega$ and study effects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "omega = 30 # interlayer coupling strength\n",
    "joints = supraCentrality(M,At,omega,centrality_function)\n",
    "marginals,conditionals = get_marginal_and_conditional(joints)\n",
    "\n",
    "f1,ax = plot_joint_conditional_centralities(joints,conditionals)\n",
    "ax[0].set_title('$\\omega='+str(omega)+'$')\n",
    "ax[1].set_title('$\\omega='+str(omega)+'$')\n",
    "plt.savefig(fig_folder+'/joints_conditionals_undirected_large_w.pdf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Decrease $\\omega$ and study effects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "omega = .001 # interlayer coupling strength\n",
    "joints = supraCentrality(M,At,omega,centrality_function)\n",
    "marginals,conditionals = get_marginal_and_conditional(joints)\n",
    "\n",
    "f1,ax = plot_joint_conditional_centralities(joints,conditionals)\n",
    "ax[0].set_title('$\\omega='+str(omega)+'$')\n",
    "ax[1].set_title('$\\omega='+str(omega)+'$')\n",
    "plt.savefig(fig_folder+'/joints_conditionals_undirected_small_w.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Now couple layers with directed edges (first layer most important)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "omega = 1 # again, set the interlayer coupling strength to 1\n",
    "gamma = .1 # layer teleportation parameter as described in https://arxiv.org/pdf/1906.06366.pdf\n",
    "At2 = directed_chain(len(M),gamma) # interlayer adjacency matrix is directed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "joints2 = supraCentrality(M,At2,omega,centrality_function)\n",
    "marginals2,conditionals2 = get_marginal_and_conditional(joints2)\n",
    "f1,ax = plot_joint_conditional_centralities(joints2,conditionals2)\n",
    "ax[0].set_title('$\\gamma='+str(gamma)+'$')\n",
    "ax[1].set_title('$\\gamma='+str(gamma)+'$')\n",
    "\n",
    "plt.savefig(fig_folder+'/joints_conditionals_directed.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gamma = .001\n",
    "At2 = directed_chain(len(M),gamma)\n",
    "\n",
    "joints2 = supraCentrality(M,At2,omega,centrality_function)\n",
    "marginals2,conditionals2 = get_marginal_and_conditional(joints2)\n",
    "f1,ax = plot_joint_conditional_centralities(joints2,conditionals2)\n",
    "ax[0].set_title('$\\gamma='+str(gamma)+'$')\n",
    "ax[1].set_title('$\\gamma='+str(gamma)+'$')\n",
    "\n",
    "plt.savefig(fig_folder+'/joints_conditionals_directed_small_gamma.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gamma = 10\n",
    "At2 = directed_chain(len(M),gamma)\n",
    "\n",
    "joints2 = supraCentrality(M,At2,omega,centrality_function)\n",
    "marginals2,conditionals2 = get_marginal_and_conditional(joints2)\n",
    "f1,ax = plot_joint_conditional_centralities(joints2,conditionals2)\n",
    "ax[0].set_title('$\\gamma='+str(gamma)+'$')\n",
    "ax[1].set_title('$\\gamma='+str(gamma)+'$')\n",
    "\n",
    "plt.savefig(fig_folder+'/joints_conditionals_directed_large_gamma.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reverse the direction of interlayer coupling  (last layer most important)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
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   "source": [
    "gamma = .01\n",
    "At2 = directed_chain(len(M),gamma).T # transpose reverses the interlayer edge direction\n",
    "\n",
    "joints2 = supraCentrality(M,At2,omega,centrality_function)\n",
    "marginals2,conditionals2 = get_marginal_and_conditional(joints2)\n",
    "f1,ax = plot_joint_conditional_centralities(joints2,conditionals2)\n",
    "ax[0].set_title('$\\gamma='+str(gamma)+'$')\n",
    "ax[1].set_title('$\\gamma='+str(gamma)+'$')\n",
    "\n",
    "plt.savefig(fig_folder+'/joints_conditionals_reverse_directed.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
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